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Finding the Fourth Proportional to 111,670.60, 167,512.28 and 31,702.31

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Solution

The fourth proportional to 111,670.60, 167,512.28 and 31,702.31 is: 47,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,670.60 : 167,512.28 = 31,702.31 : x
  2. Step 2: Convert to fraction form
    111,670.60/167,512.28 = 31,702.31/x
  3. Step 3: Cross multiply
    111,670.60x = 167,512.28 × 31,702.31
  4. Step 4: Simplify right side
    111,670.60x = 5,310,526,229.37
  5. Step 5: Solve for x
    x = 5,310,526,229.37/111,670.60
  6. Step 6: Final answer
    x = 47,555.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.